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11561090940 = 22325743213383
BaseRepresentation
bin10101100010001100…
…00011111101111100
31002211201020021022100
422301012003331330
5142134114402230
65151110145100
7556331436330
oct126106037574
932751207270
1011561090940
1149a2a30813
1222a7952190
13112324c119
147b96097c0
15479e73660
hex2b1183f7c

11561090940 has 144 divisors (see below), whose sum is σ = 41010697728. Its totient is φ = 2581068672.

The previous prime is 11561090939. The next prime is 11561090963. The reversal of 11561090940 is 4909016511.

11561090940 is a `hidden beast` number, since 1 + 1 + 561 + 0 + 9 + 0 + 94 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11561090895 and 11561090904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52512 + ... + 160871.

It is an arithmetic number, because the mean of its divisors is an integer number (284796512).

Almost surely, 211561090940 is an apocalyptic number.

11561090940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11561090940 is an abundant number, since it is smaller than the sum of its proper divisors (29449606788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11561090940 is a wasteful number, since it uses less digits than its factorization.

11561090940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213448 (or 213443 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 11561090940 in words is "eleven billion, five hundred sixty-one million, ninety thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 43 45 60 63 70 84 86 90 105 126 129 140 172 180 210 215 252 258 301 315 387 420 430 516 602 630 645 774 860 903 1204 1260 1290 1505 1548 1806 1935 2580 2709 3010 3612 3870 4515 5418 6020 7740 9030 10836 13545 18060 27090 54180 213383 426766 640149 853532 1066915 1280298 1493681 1920447 2133830 2560596 2987362 3200745 3840894 4267660 4481043 5974724 6401490 7468405 7681788 8962086 9175469 9602235 12802980 13443129 14936810 17924172 18350938 19204470 22405215 26886258 27526407 29873620 36701876 38408940 44810430 45877345 53772516 55052814 64228283 67215645 82579221 89620860 91754690 110105628 128456566 134431290 137632035 165158442 183509380 192684849 256913132 268862580 275264070 321141415 330316884 385369698 412896105 550528140 578054547 642282830 770739396 825792210 963424245 1156109094 1284565660 1651584420 1926848490 2312218188 2890272735 3853696980 5780545470 11561090940